Which of the following is not always true?

Question

A. The inverse of inverse will form contrapositive.

B. The inverse of converse will form inverse.

C. The contrapositive of inverse will form conditional.

D. The converse of converse will form conditional.

Answer 1

Let's say our conditional is if p then q

the inverse would be if ~p then ~q

the converse would be if q then p

the contrapositive would be if ~q then ~p

the inverse of the inverse would be if p then q, which is not the contrapositive

the inverse of the converse would be if ~q then ~p which is not the inverse

the contrapositive of the inverse would be if q then p which is not the conditional

the converse of the converse would be if p then q which is the conditional